SQL Star Written Test 10th October 2012

Q1. Three numbers are in the ratio 4:7:5. If the product of the first two numbers is 1008 and the difference between the last two numbers is half the first number, find the middle number.

(a) 28

(b) 42

(c) 56

(d) None of these

Q2. In a survey conducted, it was revealed that 65% of the population of a town prefer tea of brand A and 65% prefer tea of brand B. If 18% of the population do not prefer tea, then what percent of the population of the town prefers both the brands of tea?

(a) 28

(b) 32

(c) 38

(d) 48

Q3. The average score of first eight games played by Shyam was 144 and the last nine games was 156. If he played 18 games all together and the average of all the 18 games is 144, then find the score made by Shyam in the ninth game.

(a) 36

(b) 64

(c) 81

(d) 104

Q4. Find the next number of the series: 1, 3, 6, 11, 18

(a) 31

(b) 29

(c) 25

(d) 33

Q5. An article was sold at a gain of 10%. If the selling price had been Rs.75 more the gain would have been 15%. Find the original cost of the article.

(a) Rs.1200

(b) Rs.1500

(c) Rs.2000

(d) Rs.2500

Q6. The sum of two numbers is 198. If one number is 20% more than the other, find the larger number.

(a) 96

(b) 108

(c) 132

(d) 144

Q7. Ram undertook a job for 20 days on the condition that for everyday he worked he would get Rs.50 and for everyday he was absent, he would be penalised Rs.20. Upon completing the job he received Rs.300. For how many days was he absent?

(a) 10

(b) 12

(c) 8

(d) 15

Q8. How much more should Siri score in the next test than her present average to increase the average of her previous eight tests by 6 marks?

(a) 45

(b) 54

(c) 63

(d) 72

Q9. The sum of two numbers is 15 and two - thirds of one number is equal to the other. Then the difference between the numbers is

(a) 6

(b) 4

(c) 3

(d) 1

Q10. Falguni is eight years older than her sister. In three years she will become twice as old as her sister. What is the sum of their ages?

(a) 18

(b) 21

(c) 32

(d) 38

Q11. Rahul bought ten shares of Reliance. After a week, the prices of the shares shot up by 45% and exactly one week after that the shares fell down by 30%. If he bought the ten shares for Rs.1200, what would be the profit or loss incurred by him if he sells the shares at the end of the second week?

(a) Rs.18

(b) Rs.72

(c) Rs.108

(d) Rs.180

Q12. In a restaurant, a vending machine had two different taps to fill coffee. One tap can fill a cup in 2 min and the other can fill the same cup in 3 min. Ram wanted to fill a pitcher which had ten times the volume of one coffee cup. If he uses both the taps and uses only full cups to fill the pitcher, in how many minutes can he fill the pitcher?

(a) 8

(b) 10

(c) 12

(d) 15

Q13. The least number which when divided by 2, 3 and 7 leaves a remainder of 1 in each case is

(a) 37

(b) 35

(c) 85

(d) 43

Q14. The average mark of a class of 30 students is 45 and the average mark of another class of 45 students is 30. What is the average mark of the two classes together?

(a) 33

(b) 36

(c) 39(d) 42

Q15. What is the probability that two cards drawn from a pack of 52 cards are aces of the same colour?

(a) 1/663

(b) 2/663

(c) 1/1326

(d) 3/1326

Q16. Megha was selling tickets for her school play. On the day of the play, she realised that the ratio of the number of tickets she sold to adults to the number of tickets she sold to students was 4:5. If the sum of the number of tickets she sold to adults and half the number of the tickets she sold to students is 260, how many tickets did she sell to adults?

(a) 116

(b) 160

(c) 216

(d) 232

Q17. A store offered a discount of 24% on all purchases above Rs.1200 and still earned a profit of 14%. If the profit made by the store on one such sale is Rs.1064, then find the marked price of the product sold.

Q19. A crate contained 120 eggs. While transferring the crate, some of the eggs broke. Which of the following cannot be the ratio of the broken eggs to the unbroken eggs?

(a) 1:5

(b) 13:12

(c) 2:3

(d) 5:7

Q20. Ram and Shyam decide to go to a neighbouring town 360 km away and they travel at 40 kmph and 60 kmph respectively. If Ram starts at 6:00 a.m., then at what time should Shyam start so that he reaches the destination at the same time as Ram?

(a) :20 a.m.

(b) :45 a.m.

(c) 9:00 a.m.

(d) :15 a.m.

Q21. The cost of eight apples and nine oranges is Rs.50. The cost of six apples and nine bananas is Rs.37.50. The cost of five oranges and five bananas is Rs.17.50. What is the total cost of one apple, one orange and one banana?

(a) Rs.4.75

(b) Rs.7.50

(c) Rs.9.75

(d) Rs.11.50

Q22. Kirti is twice as old as Lahiri. Three years from now the sum of their ages will be 42. How old is Kirti?

(a) 22

(b) 24

(c) 30

(d) 34

Q23. One fifth of a 60% strong alcohol solution is replaced by water. Find the strength of the alcohol in the new solution.

(a) 36

(b) 48

(c) 52

(d) None of these

Q24. Find two consecutive even integers such that twice the smaller is 26 less than three times the larger.

(a) 20, 22

(b) 22, 24

(c) 24, 26

(d) 26, 28

Q25. From a set of ten cards numbered 1 to 10, two cards are drawn at random. What is the probability that the sum of the numbers of the cards drawn is greater than 5?

(a) 1/9

(b) 4/45

(c) 28/45

(d) 41/45

Q26. How many different arrangements of five letters can be formed from {a, e, i, o, u} if repetition is not allowed and if a - cannot be the first letter?

(a) 72

(b) 96

(c) 120

(d) None of these

Q27. A housewife due to an increase in the price of sugar by 25%, could now buy only 56 kg of sugar with Rs.700. What was the original price of one kg of sugar?

(a) Rs.10

(b) Rs.12.50

(c) Rs.14

(d) Rs.17.50

Q28. If the length of a rectangle is decreased by 20% and the breadth increased by 20%, a square of area 144 cm2 is obtained. What is the area of the rectangle (in sq.cm.)?

(a) 120

(b) 144

(c) 150

(d) 140

Q29. Rohit beats Reema by 50 m in a 1km race and Rahul beats Rohit by 100m in a 1 km race. What start should Rahul give Reema so that both of them finish a 1 km race at the same time?

(a) 145 m

(b) 156 m

(c) 184 m

(d) 212 m

Q30. What is the average of the squares of the numbers 5, 6, 7, 8, 9?

(a) 51

(b) 62

(c) 68

(d) 73

Q31. Two men and six boys can complete a work in five days. A team of one man and two boys takes twelve days to do the same work. In how many days will a man alone complete the entire work?

(a) 14

(b) 18

(c) 20

(d) 22

Q32. In a queue, Prashanth was 11th from the end and Lokesh was 12th from the beginning of the queue. If there were four boys between Prashanth and Lokesh, what is the total number of people in the queue?

(a) 24

(b) 25

(c) 26

(d) 27

Q33. The average weight of A, B, C and D is 40 Kg and of B, C, D and E is 50 Kg. If As weight is 45 Kg then Es weight is

(a) 70 Kg

(b) 80 Kg

(c) 85 Kg

(d) 60 Kg

Q34. What is the area of the largest quadrilateral that can be inscribed in a circle of radius 9 cm, in sq cm?

(a) 81

(b) 120

(c) 162

(d) 186

Q35. Three days ago it was the same day as it would be 25 days from now. If 28 days ago it was a Sunday, then what day would it be 15 days from today?

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